Linear Pairs and Vertical Angles Assignment and Quiz with Complete Solutions

Linear Pairs and Vertical Angles Assignment
and Quiz with Complete Solutions
Complete the steps in the two-column proof. - ANSWER-angle addition postulate
2x = 56

Given: m∠QVR = 49°

Prove: x = 15


Complete the steps of the proof. - ANSWER-vertical angles theorem
3x + 4 = 49

Given: mADE = 60° and mCDF = (3x + 15)°
Prove: x = 15


What is the missing statement and the missing reason in step 5? - ANSWER-
Statement: 60 = 3x + 15; Reason: substitution

Given: mEDF = 120°; mADB = (3x)°; mBDC = (2x)°
Prove: x = 24


What is the missing reason in step 3? - ANSWER-NOT definition of congruency

Given: mORP = 80°
mORN = (3x + 10)°
Prove: x = 30


Which statement could be used in step 2 when proving x = 30? - ANSWER-ORP and
ORN are a linear pair

If the m∠SRW = 85°, what are the measures of ∠VRU and ∠URW?



m∠VRU = __°



m∠URW = __° - ANSWER-m∠VRU = 80°